Table 15 Simulation results for optimal 24-h cost and loss of 30-unit test system

Unit

U₁

156.6361

152.7871

227.016

306.5455

299.7807

381.0959

451.3755

458.2256

U₂

137.3883

216.7005

206.1411

223.0697

221.1078

386.3257

402.5933

386.7338

U₃

183.5077

77.8266

185.1793

171.2173

317.6486

200.4145

313.0271

302.1198

U₄

67.3196

64.0967

69.648

61.7487

120.2736

80.0232

62.9823

118.2491

U₅

115.0444

172.8201

73.5132

172.2926

221.1498

124.6679

222.2963

74.3905

U₆

160

160

112.7483

125.3848

132.9651

119.5061

160

113.516

U₇

130

130

130

130

130

130

130

130

U₈

53.3852

47.1425

56.6072

77.1069

48.3576

86.6343

83.3684

87.9544

U₉

22.4203

51.7661

22.3595

21.438

21.7893

20.0857

52.0115

21.0687

U₁₀

55

55

55

55

55

55

55

55

U₁₁

150.7162

164.6547

225.9203

244.0467

381.6101

463.5108

302.305

453.867

U₁₂

137.4399

231.2731

222.998

396.115

223.1169

307.9706

311.7996

392.7023

U₁₃

74.6049

184.9427

75.5644

183.6572

196.0591

300.8891

303.7

324.501

U₁₄

61.3152

92.4835

114.8251

77.1772

61.3068

68.8396

67.8669

113.1989

U₁₅

123.6486

76.8173

74.6512

118.4038

226.0671

212.2472

180.3214

123.0396

U₁₆

131.1538

160

122.9518

121.8622

160

122.5299

126.7631

128.3935

U₁₇

130

130

130

130

130

130

130

130

U₁₈

49.9019

47.0916

120

48.1175

83.8864

83.3179

53.7866

120

U₁₉

25.6158

22.3027

21.7725

21.7898

52.4353

20.2422

21.5846

21.3338

U₂₀

55

55

55

55

55

55

55

55

U₂₁

153.6568

155.195

229.3618

210.9768

310.5565

226.3367

305.6144

297.1359

U₂₂

136.1982

136.6017

308.8311

397.4244

145.145

408.2237

314.1424

401.4987

U₂₃

175.8338

96.2927

313.3874

300.1877

325.1337

290.9892

292.0067

292.3057

U₂₄

121.9591

60.9382

66.9515

60.7523

66.3776

70.3569

84.2282

116.8452

U₂₅

122.6434

175.122

173.2034

130.4837

73.722

122.5648

175.1315

223.0581

U₂₆

114.4669

124.0518

124.7801

124.9592

124.8547

121.8398

123.1107

120.0564

U₂₇

130

130

130

130

130

130

130

130

U₂₈

56.7627

82.4834

49.5629

47.4806

48.9207

88.7115

120

55.3063

U₂₉

21.3812

21.61

21.026

20.7623

22.7356

21.6768

20.9844

27.4997

U₃₀

55

55

55

55

55

55

55

55

Cost per unit ($/day)

86,712.26

91,749.84

100,913.2

101,210.8

114,233.9

123,976.6

129,921.8

135,035.5

Unit

U₁

455.4156

454.461

468.1167

456.6197

457.9405

459.2393

379.9946

227.0437

U₂

395.4997

389.5283

389.5237

395.1748

393.8168

395.647

460

396.5805

U₃

340

310.1666

340

304.6925

297.1566

307.9964

294.5595

308.1237

U₄

236.9211

124.4537

183.2899

300

300

119.3569

67.6225

63.5592

U₅

122.9109

221.9668

219.9002

243

220.2901

229.1454

230.3565

77.5625

U₆

160

160

160

122.5459

160

119.7974

160

120.076

U₇

130

130

130

130

130

130

130

130

U₈

87.3227

120

120

120

84.5263

84.5242

81.2069

48.4701

U₉

48.8748

47.7972

22.5313

20.3959

22.1823

24.5704

24.2413

20.5996

U₁₀

55

55

55

55

55

55

55

55

U₁₁

470

456.9818

470

470

470

384.6041

451.6924

384.368

U₁₂

314.5853

395.3526

404.0876

460

460

394.5032

219.1056

306.9112

U₁₃

330.2565

340

304.0497

340

340

340

294.2354

313.2232

U₁₄

173.7543

300

300

300

123.5559

63.2327

61.1228

122.652

U₁₅

174.5582

243

224.3059

243

172.4131

228.2889

127.9415

221.4074

U₁₆

124.267

160

160

160

160

160

121.8913

116.3018

U₁₇

130

130

130

130

130

130

130

130

U₁₈

120

120

82.8362

83.8627

120

50.8432

120

47.224

U₁₉

20.5503

20.5962

50.4151

26.8082

23.4197

28.5902

45.0589

23.0396

U₂₀

55

55

55

55

55

55

55

55

U₂₁

454.5898

470

470

455.0604

470

462.2676

456.3738

302.14

U₂₂

389.9642

460

398.0501

460

308.5902

460

398.653

309.5274

U₂₃

321.3959

306.968

340

300.6481

293.9653

303.3105

312.6154

312.887

U₂₄

121.2386

62.9746

300

300

300

118.3226

60.4335

69.8464

U₂₅

164.1937

240.9904

173.8243

243

227.3967

218.3714

172.7586

118.3036

U₂₆

120.0645

117.9701

160

160

160

160

129.4894

127.6315

U₂₇

130

130

130

130

130

130

130

130

U₂₈

49.7019

85.6586

120

120

47.3427

84.21

49.3565

49.1868

U₂₉

20.9349

52.1342

22.0693

20.1918

48.4037

20.1785

54.2906

20.3349

U₃₀

55

55

55

55

55

55

55

55

Cost per unit ($/day)

143,473.9

155,980

161,285.4

162,735.1

154,869.6

142,933.5

134,027.4

114,389.1

Unit

U₁

227.1256

154.7243

460.3588

451.4051

458.4054

462.8513

377.7089

380.4584

U₂

141.7164

306.3977

398.8181

396.6633

460

399.1278

142.5676

309.7039

U₃

308.8095

309.1892

290.493

295.4164

340

298.7534

294.1235

199.6546

U₄

65.5958

61.7759

123.4598

300

122.1345

119.4114

66.4421

69.2744

U₅

216.1024

232.908

174.3895

183.0822

178.7955

75.9503

120.1514

74.7298

U₆

135.3044

123.6005

129.0219

160

160

160

125.6952

123.2682

U₇

130

130

130

130

130

130

130

130

U₈

47.5604

47.8949

82.6273

49.0022

120

48.3291

54.128

47.3901

U₉

52.2878

20.5378

23.1839

24.1483

32.3267

21.307

20.5975

21.4514

U₁₀

55

55

55

55

55

55

55

55

U₁₁

306.0758

381.7282

299.7631

470

378.9605

370.6101

296.1123

153.4444

U₁₂

392.9375

397.905

401.1924

460

398.7344

396.6708

394.3747

136.7718

U₁₃

294.2377

304.3464

303.4469

289.4879

298.3372

308.4771

185.7545

78.6511

U₁₄

101.2546

73.6006

182.9236

122.8943

120.8767

66.1119

63.8072

131.6552

U₁₅

74.0031

123.2715

73.1885

219.0339

243

116.8524

169.4518

119.991

U₁₆

127.8285

124.1132

131.9019

120.4227

134.9719

117.4291

129.3315

122.4987

U₁₇

130

130

130

130

130

130

130

130

U₁₈

47.8673

85.1634

119.2559

86.6209

120

85.4857

50.3169

49.0406

U₁₉

22.8533

53.8519

22.8715

26.6395

23.2127

46.1556

50.992

51.7326

U₂₀

55

55

55

55

55

55

55

55

U₂₁

227.3557

456.9452

376.3048

470

380.5054

231.8649

151.9123

230.8197

U₂₂

388.5731

315.1246

397.0103

398.8798

387.1446

310.4801

215.9083

221.6757

U₂₃

198.615

185.1819

308.4753

308.0651

292.2205

281.615

195.0372

73.2621

U₂₄

73.8779

73.1462

69.9627

300

115.5469

106.3535

65.2368

66.9052

U₂₅

224.3901

223.42

172.1393

228.3715

221.6636

74.7023

73.0682

121.313

U₂₆

137.1451

160

160

160

160

121.6104

127.5902

119.6289

U₂₇

130

130

130

130

130

130

130

130

U₂₈

49.8953

86.5096

50.5047

120

47.2221

83.3086

49.1244

47.7603

U₂₉

23.5878

27.6636

21.707

20.867

22.9416

25.5422

21.5677

45.9188

U₃₀

55

55

55

55

55

55

55

55

Cost per unit ($/day)

114,449.5

124,822

132,574.6

154,810.8

144,475.6

125,095.4

105,455.3

95,974.6

Total best cost (for 30 units) = 3,051,105.8134 ($/day)

Total mean cost (for 30 units) = 3,053,546.734 ($/day)

Total worst cost (for 30 units) = 3,055,657.243 ($/day)